Convex real projective structures on compact surfaces
نویسندگان
چکیده
منابع مشابه
Convex Real Projective Structures on Compact Surfaces
The space of inequivalent representations of a compact surface S with χ(S) < 0 as a quotient of a convex domain in RP by a properly discontinuous group of projective transformations is a cell of dimension
متن کاملBulge Derivatives and Deformations of Convex Real Projective Structures on Surfaces
Title of dissertation: TWIST-BULGE DERIVATIVES AND DEFORMATIONS OF CONVEX REAL PROJECTIVE STRUCTURES ON SURFACES Terence Dyer Long, Doctor of Philosophy, 2015 Dissertation directed by: Professor Scott Wolpert Department of Mathematics Let S be a closed orientable surface with genus g > 1 equipped with a convex RP structure. A basic example of such a convex RP structure on a surface S is the one...
متن کاملConvex projective structures on Gromov–Thurston manifolds
Gromov and Thurston in [10] constructed, for each n 4, examples of compact n– manifolds which admit metrics of negative curvature, with arbitrarily small pinching constants, but do not admit metrics of constant curvature. We review these examples in Section 3. The main goal of this paper is to put convex projective structures on Gromov– Thurston examples. Suppose that RP is an open subset and...
متن کاملEntropies of Compact Strictly Convex Projective Manifolds
Let M be a compact manifold of dimension n with a strictly convex projective structure. We consider the geodesic flow of the Hilbert metric on it which is known to be Anosov. We prove that its topological entropy is less than n − 1, with equality if and only if the structure is Riemannian, that is hyperbolic. As a corollary, we get that the volume entropy of a divisible strictly convex set is l...
متن کاملEntropy Degeneration of Convex Projective Surfaces
We show that the volume entropy of the Hilbert metric on a closed convex projective surface tends to zero as the corresponding Pick differential tends to infinity. The proof is based on the fact, due to Benoist and Hulin, that the Hilbert metric and the Blaschke metric are comparable.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Differential Geometry
سال: 1990
ISSN: 0022-040X
DOI: 10.4310/jdg/1214444635